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25 August 2003, Volume 23 Issue 4 Previous Issue    Next Issue

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Existence and Uniqueness of the Solution for Nonlinear Age dependent Time varying Population Evolution Equations CHEN Ren-Zhao, LI Jian-Quan Acta mathematica scientia,Series A. 2003, 23 (4):  385-400.  Abstract ( 1773 )   RICH HTML PDF (495KB) ( 1401 )   Save This paper discusses nonlinear age dependent time varying population evolution equations,proves the existence,uniqueness and stability of its local and global solutions.These results may provide a strict theor etical basis for the practical research of the population problem.  References | Related Articles | Metrics

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Integral Operator Solving Process of the Boundary Value Problems of Abstract Kinetic Equation with the First Kind of Critical Parameters YU De-Jian, LIU Xiao-Ping Acta mathematica scientia,Series A. 2003, 23 (4):  401-409.  Abstract ( 1446 )   RICH HTML PDF (352KB) ( 1354 )   Save In this paper the authors study some kind of abstrct volterra integral operator, and solve the boundary value problems of abstract kinetic equation with the first kind o f critical parameter by virtue of the above study. The new solving process is named as integral operator solving process.  References | Related Articles | Metrics

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Starlike Affine Elastic Curves On R^2 HUANG Rong-Pei Acta mathematica scientia,Series A. 2003, 23 (4):  410-418.  Abstract ( 1202 )   RICH HTML PDF (365KB) ( 1447 )   Save The subaffine elastica is the critical point of the total squared subaffine curv ature functional. In this paper, the starlike affine curve on the plane is dicus sed. It solved the subaffine curvature of the subaffine elastica by using the elliptic function and completely solved the subaffine elastica by using the Killing field and the classification of the conjugate class of sl(2, R) References | Related Articles | Metrics

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Global Discontinuous Solutions to a Class of Generalized Riemann Problems for Quasilinear Hyperbolic Systems CHEN Shou-Xin Acta mathematica scientia,Series A. 2003, 23 (4):  419-430.  Abstract ( 1516 )   RICH HTML PDF (446KB) ( 1188 )   Save For a class of generalized Riemann problems to quasili near hyperbolic systems, the author proves in this paper the global existence and uniqueness of discontinuous solutions containing (i) a contact discontinuity  and a center rarefaction, or (ii) a contact discontinuity and a shock.  References | Related Articles | Metrics

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Existence of Periodic Solutions for nth Order Nonlinear Non Automous Equations with Multiple Variavle Lags WANG Gen-Qiang, YAN Ji-Rang Acta mathematica scientia,Series A. 2003, 23 (4):  431-435.  Abstract ( 2119 )   RICH HTML PDF (329KB) ( 1416 )   Save In this paper the authors give two sufficient conditions on the existence of per iodic solutions of the nth nonlinear non autonomous equations with multiple variable lags. References | Related Articles | Metrics

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Bayesian Procedure in Classification Problem With Linear Expon ential Hazard Function WEI Li-Li, ZHANG Wen-Xiu Acta mathematica scientia,Series A. 2003, 23 (4):  436-443.  Abstract ( 1317 )   RICH HTML PDF (390KB) ( 1822 )   Save Let Π0 and Π1 be two populations, the hazard functions  of which are linear exponential functions with different param eters.For the life data X in an experiment, the Bayesian stopping rule and decision r ule of the classification problem are given in this paper, where the loss functi o n of the model is the sum of the cost of the experiment time and the loss due to  the wrong decision.  References | Related Articles | Metrics

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Research on the Quantum Thermal Effect and Planck Absolute Entropy of the Interior and Exterior Horizon Black Hole Based on Dirac Equation CHENG Xie-Feng, LI Chuan-An Acta mathematica scientia,Series A. 2003, 23 (4):  444-448.  Abstract ( 1604 )   RICH HTML PDF (332KB) ( 1564 )   Save  Research on the quantum thermal effect near the interior and exterior horizon of  black hole based on Dirac equation. After especially considering the Hawking ab sorption of the black hole, Planck absolute entropy of the charged black hole ha s been given out. References | Related Articles | Metrics

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The Molecule Decomposition of Besov Spaces and Their Application to PDE WANG Heng-Geng, DAO Xiang-Xin Acta mathematica scientia,Series A. 2003, 23 (4):  449-455.  Abstract ( 2281 )   RICH HTML PDF (345KB) ( 1420 )   Save After giving  the molecule characterization of Besov spaces B^{s,p}_p(wheres<0,0<p≤1,n≥1 and Ω∈ER(n)). The authors  studied  the bounds of  f→+2 (Gf) for every f∈B^{s,p}_p on bounded convex domain ΩR^n(n ≥3), where G(x,y) is a Green function of the Laplace operator -Δ on Ω. References | Related Articles | Metrics

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The Identifiability Condition of Causal Effect for a Simple Causal Model LIANG Yu, ZHENG Zhong-Guo Acta mathematica scientia,Series A. 2003, 23 (4):  456-463.  Abstract ( 1462 )   RICH HTML PDF (386KB) ( 1954 )   Save This paper, a research on causality of the directed acyclic  graph, sets up a counterfactual causal model for the causal graph in which control variable has the effect on the concomitants variable, and studies its identifiability with the ancillary information based on conditional independence. It is shown that under the assumption of replaceability,which is the generalization of the assumption of ignorability in the literature, the causal effect is identifiable. It is also shown that under the model wihch we discuss here, whether the control variable has the effect on the concomitants variable or not, the causal effects  have the same identifiability and replaceability. References | Related Articles | Metrics

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Attractors for a Damped Generalized Coupled Nonlinear Wave Equations in an Unbounded Domain FANG Shao-Mei, GUO BO-Ling Acta mathematica scientia,Series A. 2003, 23 (4):  464-473.  Abstract ( 1478 )   RICH HTML PDF (376KB) ( 1418 )   Save By the interpolating inequality and a priori estimates in  the weighted space, the existence of the global solutions for the damped genera lized coupled nonlinear wave equations in an unbounded domain is considered and  the existence of the maximal attractor is obtained.  References | Related Articles | Metrics

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A New Family of a prior Distributions for Exponential Reliability Growth Models TUN Qi-Guang, DIAO Yong-Hui Acta mathematica scientia,Series A. 2003, 23 (4):  474-484.  Abstract ( 1369 )   RICH HTML PDF (407KB) ( 1391 )   Save This paper introduces a new family of a prior distributions for four reliability growth testing scenarios with exponential failure data. The proposed prior is of conditional form, which can accord well with various actual situations in reliability growth tests. The expressions of corresponding conditional means and variances for all stages are obtained, and the relationship between the shape of a prior distributions and their parameters are iscussed. These results are helpful for better incorporation of expert opinons. The posterior density and Bayesian estimators and Bayesian lower bound of the reliability at the end of the test are also given. References | Related Articles | Metrics

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Adapted Solution of a Backward Semilinear Stochastic Evolution Equation with Non Lipschitz Coefficients ZHOU Shao-Fu, CAO Xiao-Yong Acta mathematica scientia,Series A. 2003, 23 (4):  485-493.  Abstract ( 1625 )   RICH HTML PDF (379KB) ( 1181 )   Save In this paper, the authors shall study the following infi nitedemensional space's backward semilinear stochastic evolution equation x(t)+∫TteA(s-t)f(s,x(s),y(s))ds+∫Tte A(s-t )(g(s,x(s))+y(s))dw(s)=eA(T-t)X,The authors establish a new theorem on the existence and uniqueness of the ada pted solution of it under a weaker condition than the Lipschitz one.   References | Related Articles | Metrics

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Stability for Differential Equations with Delay FU Chao-Jin, LIAO Xiao-Xin Acta mathematica scientia,Series A. 2003, 23 (4):  494-498.  Abstract ( 1504 )   RICH HTML PDF (322KB) ( 1575 )   Save In this paper, using the retarded Gronwall Bellman type integral inequ ality,  we obtained some sufficient conditions of stability of differential equa tions with delay. Particularly, for convenient application, some concise criteri ons dependent on the righthand of linear differential equations with delay are  given.    References | Related Articles | Metrics

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High Accuracy Approximation of Mixed Finite Element for 2d Maxwell |Equations  LIN Qun, LIN Jia-Fu Acta mathematica scientia,Series A. 2003, 23 (4):  499-503.  Abstract ( 1830 )   RICH HTML PDF (326KB) ( 1383 )   Save High accuracy approximation of mixed finite element for 2d  Maxwell equations are studied in this paper. For the solution of mixed finite el ement of  2d Maxwell equations, the \$L\+2\$norm convergence rate can be in creased  from O(h\+2) to O(h\+4) by postprocessing if taking the first Nedelec f inite element space on the uniform rectangular meshes.  References | Related Articles | Metrics

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Singularly Perturbed Boundary Value Problems for Volterra Retarded Differential Equations with Nonlinear Boundary Conditions LIN Jing-Chi, GE Wei-Gao Acta mathematica scientia,Series A. 2003, 23 (4):  504-512.  Abstract ( 1905 )   RICH HTML PDF (355KB) ( 1211 )   Save In this paper, the authors study a kind of boundary value problems for functional differential equations with nonlinear boundary conditions〖JB({〗εx″(t)=f(t,x(t),x(t-τ(t)),\[Tx\](t),x′(t),ε),t∈(0,1),x(t)=φ(t,ε),t∈\[-τ,0\],h(x(1),x′(1),ε)=A(ε),[JB)]where ε>0 is a small parameter,  τ(t)≥τ\-0>0,τ=\%\{max\}\%[DD(X]t∈\[0,1\][DD)]τ(t)<1,\[Tx\](t)=ψ(t)+∫\+t\-0k(t,x)x(s)ds is a type of Volterra map. By using the t heory  of differential inequality, we prove the existence of the solution and uniforml y valid asymptotic expansions of the solution is given as well.   References | Related Articles | Metrics